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Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box… 
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Related topics

Related topics

12 relations
Approximation theoryB-splineDirac delta functionList of numerical analysis topics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
B-spline scale-space of spline curves and surfaces
2009
2009
Deriving Box-Spline Subdivision Schemes
We describe and demonstrate an arrow notation for deriving box-spline subdivision schemes. We compare it with the z -transform… 
2006
2006
C2 subdivision over triangulations with one extraordinary point
2002
2002
Subdivision of Box-Splines
  • M. Sabin
  • Tutorials on Multiresolution in Geometric…
  • 2002
  • Corpus ID: 38083870
The two original refinement algorithms for defining subdivision surfaces were based on the biquadratic and bicubic tensor-product… 
Highly Cited
1999
Highly Cited
1999
Edge and vertex insertion for a class of C1 subdivision surfaces
1997
1997
Box-spline based CSG blends
The zero set of a trivariate spline is used to blend basic CSG surfaces of algebraic degree up to four. The resulting volume… 
1995
1995
Blending Basic Implicit Shapes Using Trivariate Box Splines
To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ… 
1991
1991
Box-spline tilings
We describe a simple method for generating tilings of IR d . The basic tile is defined as := {x ∈ IR d : |f(x)| < |f(x + j)| ∀j… 
1991
1991
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes
Highly Cited
1987
Highly Cited
1987
The polynomials in the linear span of integer translates of a compactly supported function
Algebraic facts about the space of polynomials contained in the span of integer translates of a compactly supported function are… 
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